10x+4y+7z-5x+3z-7y=

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Solution for 10x+4y+7z-5x+3z-7y= equation:


Simplifying
10x + 4y + 7z + -5x + 3z + -7y = 0

Reorder the terms:
10x + -5x + 4y + -7y + 7z + 3z = 0

Combine like terms: 10x + -5x = 5x
5x + 4y + -7y + 7z + 3z = 0

Combine like terms: 4y + -7y = -3y
5x + -3y + 7z + 3z = 0

Combine like terms: 7z + 3z = 10z
5x + -3y + 10z = 0

Solving
5x + -3y + 10z = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.
5x + -3y + 3y + 10z = 0 + 3y

Combine like terms: -3y + 3y = 0
5x + 0 + 10z = 0 + 3y
5x + 10z = 0 + 3y
Remove the zero:
5x + 10z = 3y

Add '-10z' to each side of the equation.
5x + 10z + -10z = 3y + -10z

Combine like terms: 10z + -10z = 0
5x + 0 = 3y + -10z
5x = 3y + -10z

Divide each side by '5'.
x = 0.6y + -2z

Simplifying
x = 0.6y + -2z

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